In other words, the fibonorial of n, 
, is the product of all Fibonacci numbers from 
to 
.
, is the product of all Fibonacci numbers from to .Given an integer n and a number base b, write a function that calculates the number of trailing zeros of the fibonorial of n when written in base-b.
For example, for 
and 
, the function should return 2, because:
and , the function should return 2, because: >> dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)
>> '13103120230200'
For and 
, the function should return 1.
and , the function should return 1. >> dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)
>> '1C4CB080'
--------------------
Hint: As a practice, you may want to solve first, the previous problem: Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base.
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Note that in addition to global, persistent, java and BigInteger; for, if, case, and switch are forbidden.
Only needs scalar inputs - test cases do arrayfun()s.